We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic equations is also investigated. In particular, if the domain is a ball, the elements of the omega limit set are nonnegative radially symmetric solutions of the stationary problem.
Asymptotic Symmetry for a Class of Quasi-Linear Parabolic Problems
MONTORO, LUIGI;SCIUNZI, Berardino;
2010-01-01
Abstract
We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic equations is also investigated. In particular, if the domain is a ball, the elements of the omega limit set are nonnegative radially symmetric solutions of the stationary problem.File in questo prodotto:
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